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Finding the Third Proportional to 543,294 and 798,291

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Solution

The third proportional to 543,294 and 798,291 is: 1,172,971.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,294 : 798,291 = 798,291 : x
  2. Step 2: Convert to fraction form
    543,294/798,291 = 798,291/x
  3. Step 3: Cross multiply
    543,294x = 798,291 × 798,291
  4. Step 4: Simplify right side
    543,294x = 637,268,520,681
  5. Step 5: Solve for x
    x = 637,268,520,681/543,294
  6. Step 6: Final answer
    x = 1,172,971.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.